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In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

We develop a mathematical framework to define an optimal individualized treatment rule (ITR) within the context of prioritized outcomes in a randomized controlled trial. Our optimality criterion is based on the framework of generalized…

Methodology · Statistics 2025-06-17 François Petit , Gérard Biau , Raphaël Porcher

Radiotherapy planning is a critical aspect of cancer treatment, where the optimal selection of beam directions and dose distributions significantly impacts treatment efficacy and patient outcomes. Traditionally, this process involves…

Medical Physics · Physics 2023-12-05 Keshav Kumar K. , NVSL Narasimham , A. Ramakrishna Prasad

It is possible to find the optimized radiation dose per session for a radiotherapy (RT) treatment, using a population dynamics model. This has already been done in a previous work for a protocol with 30 sessions and a fixed dose per…

A central problem in the field of radiation therapy (RT) is how to optimally deliver dose to a patient in a way that fully accounts for anatomical position changes over time. As current RT is a static process, where beam intensities are…

Medical Physics · Physics 2019-09-04 Rodney D. Wiersma , Xinmin Liu

Among the genetic algorithms generally used for optimization problems in the recent decades, quantum-inspired variants are known for fast and high-fitness convergence and small resource requirement. Here the application to the patient…

Neural and Evolutionary Computing · Computer Science 2025-06-06 Akira SaiToh , Arezoo Modiri , Amit Sawant , Robabeh Rahimi

Patient scheduling is a difficult task involving stochastic factors such as the unknown arrival times of patients. Similarly, the scheduling of radiotherapy for cancer treatments needs to handle patients with different urgency levels when…

Machine Learning · Computer Science 2022-10-25 Tu-San Pham , Antoine Legrain , Patrick De Causmaecker , Louis-Martin Rousseau

Radiation Treatment Planning (RTP) is the process of planning the appropriate external beam radiotherapy to combat cancer in human patients. RTP is a complex and compute-intensive task, which often takes a long time (several hours) to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Felix Liu , Niclas Jansson , Artur Podobas , Albin Fredriksson , Stefano Markidis

Radiotherapy (RT) patient scheduling is a complex operational problem. Current scheduling often relies on manual coordination and can be difficult to adapt to changing clinical demands. This study evaluated the feasibility of using a large…

Recurrent events, characterized by the repeated occurrence of the same event in an individual, are a common type of data in medical research. Motivated by cancer recurrences, we aim to estimate the optimal individualized treatment regime…

Methodology · Statistics 2025-02-18 Zi-Shu Zhan , Jin-Lun Zhang , Chen Shi , Xiao-Han Xu , Chun-Quan Ou

Robust optimization is a commonly employed method to mitigate uncertainties in the planning of intensity-modulated proton therapy (IMPT). In certain contexts, the large number of uncertainty scenarios makes the robust problem impractically…

Medical Physics · Physics 2025-04-22 Ivar Bengtsson

Randomized Controlled Trials (RCTs) are the gold standard for comparing the effectiveness of a new treatment to the current one (the control). Most RCTs allocate the patients to the treatment group and the control group by uniform…

Machine Learning · Statistics 2018-10-22 Onur Atan , William R. Zame , Mihaela van der Schaar

The individualized treatment rule (ITR), which recommends an optimal treatment based on individual characteristics, has drawn considerable interest from many areas such as precision medicine, personalized education, and personalized…

Methodology · Statistics 2023-09-28 Qi Xu , Haoda Fu , Annie Qu

The widespread adoption of on-board volumetric imaging in cancer radiotherapy has stimulated research efforts to develop online adaptive radiotherapy techniques to handle the inter-fraction variation of the patient's geometry. Such efforts…

Medical Physics · Physics 2015-05-14 Chunhua Men , Xuejun Gu , Dongju Choi , Amitava Majumdar , Ziyi Zheng , Klaus Mueller , Steve B. Jiang

The majority of cancer-related fatalities are due to metastatic disease. In chemoradiotherapy, chemotherapeutic agents are administered along with radiation to increase damage to the primary tumor and control systemic disease such as…

Optimization and Control · Mathematics 2016-11-16 Hamidreza Badri , Ehsan Salari , Yoichi Watanabe , Kevin Leder

High dose-rate brachytherapy (HDRBT) is widely used for gynecological cancer treatment. Although commercial treatment planning systems (TPSs) have inverse optimization modules, it takes several iterations to adjust planning objectives to…

Medical Physics · Physics 2021-09-14 Huan Liu , Chang M Ma , Xun Jia , Chenyang Shen , Peter Klages , Kevin Albuquerque

Radiation therapy is considered to be one of important treatment protocols for cancers. Radiation therapy employs several beams of ionizing radiation to kill cancer tumors, but such irradiation also causes damage to normal tissues.…

Optimization and Control · Mathematics 2016-12-06 Shogo Kishimoto , Makoto Yamashita

Objective: Machine learning (ML) based radiation treatment (RT) planning addresses the iterative and time-consuming nature of conventional inverse planning. Given the rising importance of Magnetic resonance (MR) only treatment planning…

Medical Physics · Physics 2022-06-13 Aly Khalifa , Jeff Winter , Inmaculada Navarro , Chris McIntosh , Thomas G. Purdie

Artificial intelligence-based radiation therapy (RT) planning has the potential to reduce planning time and inter-planner variability, improving efficiency and consistency in clinical workflows. Most existing automated approaches rely on…

Radiotherapy is used to treat cancer patients by damaging DNA of tumor cells using ionizing radiation. Photons are the most widely used radiation type for therapy, having been put into use soon after the first discovery of X-rays in 1895.…

Optimization and Control · Mathematics 2019-11-20 Roman Levin , Aleksandr Y. Aravkin , Minsun Kim